Non-asymptotic and potential Landesman-Lazer conditions for a nonlinear beam equation

P. AMSTER

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING

SPRINGER

Año: 2012 vol. 40 p. 63 - 72

1598-5865

Existence of solutions for a nonlinear fourth order ordinary differential equation arising in beam theory is considered. We obtain solutions by a degree argument under a non-asymptotic condition on the nonlinear terms of the problem. Moreover, assuming a potential Landesman-Lazer condition, we prove the existence of at least one solution by variational methods.